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Finding the Third Proportional to 34,017 and 73,512

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Solution

The third proportional to 34,017 and 73,512 is: 158,862.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,017 : 73,512 = 73,512 : x
  2. Step 2: Convert to fraction form
    34,017/73,512 = 73,512/x
  3. Step 3: Cross multiply
    34,017x = 73,512 × 73,512
  4. Step 4: Simplify right side
    34,017x = 5,404,014,144
  5. Step 5: Solve for x
    x = 5,404,014,144/34,017
  6. Step 6: Final answer
    x = 158,862.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.